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Finding the Fourth Proportional to 2,712.90, 4,069.35 and 1,983.90

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Solution

The fourth proportional to 2,712.90, 4,069.35 and 1,983.90 is: 2,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.90 : 4,069.35 = 1,983.90 : x
  2. Step 2: Convert to fraction form
    2,712.90/4,069.35 = 1,983.90/x
  3. Step 3: Cross multiply
    2,712.90x = 4,069.35 × 1,983.90
  4. Step 4: Simplify right side
    2,712.90x = 8,073,183.47
  5. Step 5: Solve for x
    x = 8,073,183.47/2,712.90
  6. Step 6: Final answer
    x = 2,975.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.